Choquard equations with critical exponential nonlinearities in the zero mass case

Autor:	Giulio Romani
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	choquard equation zero mass exponential growth variational methods limiting sobolev embeddings Mathematics QA1-939
Zdroj:	AIMS Mathematics, Vol 9, Iss 8, Pp 21538-21556 (2024)
Druh dokumentu:	article
ISSN:	20241046 2473-6988
DOI:	10.3934/math.20241046?viewType=HTML
Popis:	We investigate Choquard equations in $ \mathbb R^N $ driven by a weighted $ N $-Laplace operator with polynomial kernel and zero mass. Since the setting is limiting for the Sobolev embedding, we work with nonlinearities which may grow up to the critical exponential. We establish the existence of a positive solution by variational methods, complementing the analysis in [32], where the case of a logarithmic kernel was considered.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/2f9bc310e3dd4b2caa45cfb946314b9e Zobrazit plný text záznamu View record in DOAJ